Rational Integrator Method For The Numerical Solutions of ODEs

This research work is concerned with the determination of solutions to a class of problems in Ordinary Differential Equations (ODEs). There have been three major directions in which researches have been channeled, namely: the modeling and simulation group, the abstract and classical analysis group and the computerized group.The modeling and simulation group looks at real-life problems, (Obodi, 2001) observed the rate at which a given real-life problem is changing with respect to an observable single variable and then goes ahead to model and simulate an ODE based on the observations. (Enright and Pryce, 1987) compiled a collection of modeled ODE from various industries which today are used in testing the power and direction of computerized method highlighted in group three.